This is a very useful technique of solving Black And White puzzle. Take a look at the two images below.
This situation cannot occur anywhere in any Black And White puzzle! Suppose you find such a situation in a 2x2 region. When you try joining the two white circles, one black circle will be blocked from the other in either way. The same works vice-versa.
Take a look at Puzzle No.341
This situation cannot occur anywhere in any Black And White puzzle! Suppose you find such a situation in a 2x2 region. When you try joining the two white circles, one black circle will be blocked from the other in either way. The same works vice-versa.
Take a look at Puzzle No.341
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Try solving as much as possible without guessing.
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If you do not know this technique, you may place a white circle at R1C2 and then start scratching your head. Using this technique makes this puzzle a level one puzzle :-)
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Take a look at the marked 2x2 region. Since the Opposite Pairs situation cannot occur, R3C2 has to be a black circle.
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Using the 2x2 constraint, R4C1 is a white circle.
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Using the Edge Connection Technique, the entire edge can be made white.
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Using the 2x2 constraints, some more circles can be place.
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You should be able to complete it using simple logic.
Now when you look back, I'm sure you will realise how easy this puzzle is with the Opposite Pairs Technique :-)
Other Solving Techniques
6 comments:
Thanks for this technique. I was not knowing this and always finding this puzzle type a tough one. Now it looks very easy puzzle type
Rajesh, I wonder how you won IPC so many times! :D
Superb! :)
Since whole 2010 Indian WPC team commented, I thought I'll also.
But it's a great technique, I too never thought of it.
Missing puzzles alot :(, once I get through with a new job, I'll be back.
Wow! The lost man is here...
Get back soon, you need to solve puzzles so that you miss your job :P
I have another technique apart from these 2 that you have mentioned, that is quite useful in certain puzzles. You might be interested in adding it to your blog.
And btw, good job on the blog. I find it very useful :)
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